Studying stellar binary systems with the Laser Interferometer Space Antenna using delayed rejection Markov chain Monte Carlo methods

Trias, M., Vecchio, A. and Veitch, J. (2009) Studying stellar binary systems with the Laser Interferometer Space Antenna using delayed rejection Markov chain Monte Carlo methods. Classical and Quantum Gravity, 26, 204024. (doi: 10.1088/0264-9381/26/20/204024)

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Abstract

Bayesian analysis of Laser Interferometer Space Antenna (LISA) data sets based on Markov chain Monte Carlo methods has been shown to be a challenging problem, in part due to the complicated structure of the likelihood function consisting of several isolated local maxima that dramatically reduces the efficiency of the sampling techniques. Here we introduce a new fully Markovian algorithm, a delayed rejection Metropolis–Hastings Markov chain Monte Carlo method, to efficiently explore these kind of structures and we demonstrate its performance on selected LISA data sets containing a known number of stellar-mass binary signals embedded in Gaussian stationary noise.

Item Type:Articles
Additional Information:MT is grateful for the support of the Spanish Ministerio de Educación y Ciencia Research Projects FPA-2007-60220, HA2007-0042, CSD207-00042 and the Govern de les Illes Balears, Conselleria d'Economia, Hisenda i Innovació. AV and JV acknowledge the support by the UK Science and Technology Facilities Council.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Veitch, Dr John
Authors: Trias, M., Vecchio, A., and Veitch, J.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Classical and Quantum Gravity
Publisher:Institute of Physics
ISSN:0264-9381
ISSN (Online):1361-6382

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